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Finding the Fourth Proportional to 277.74, 416.41 and 85.26

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Solution

The fourth proportional to 277.74, 416.41 and 85.26 is: 127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 416.41 = 85.26 : x
  2. Step 2: Convert to fraction form
    277.74/416.41 = 85.26/x
  3. Step 3: Cross multiply
    277.74x = 416.41 × 85.26
  4. Step 4: Simplify right side
    277.74x = 35,503.12
  5. Step 5: Solve for x
    x = 35,503.12/277.74
  6. Step 6: Final answer
    x = 127.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.